Answered

Explore IDNLearn.com's extensive Q&A database and find the answers you need. Join our community to receive prompt, thorough responses from knowledgeable experts.

Initials and surname of student: [tex]$\qquad$[/tex] Level: 2 Group

Task 6: Practical Charts and Graphs

Section A

Question 1:

A student patrol at North Star High School stood at the pedestrian crossing on Monday morning and counted the different cars that passed between 7:30 and 8:30 AM. Below is how they recorded the numbers (the tally). Complete the table by filling in the frequency column and the total.

[tex]\[
\begin{tabular}{|c|c|c|}
\hline
Cars & Tally & Frequency \\
\hline
VW Golf & HHT HT & \\
\hline
Mercedes Benz & II & \\
\hline
Toyota Tazz & HHT HH III & \\
\hline
Mazda Sting & HHT HH & \\
\hline
BMW Z4 & I & \\
\hline
Audi A4 & III & \\
\hline
& TOTAL: & \\
\hline
\end{tabular}
\][/tex]

When they got back to class, they used square paper to draw a graph summarizing the information. Compile a vertical bar graph from the information given. Name your bar graph on the axes provided below.

Question 1:

How many cars did they count altogether? [tex]$\qquad$[/tex] What is the height of the column representing the most common car model?

Sagot :

GinnyAnsweridn
Certainly! Let's work through the information provided step-by-step:

### Step-by-Step Solution

Step 1: Analyzing the tally marks to determine the frequency:

1. VW Golf:
- Tally: HHT HT
- Frequency: Count the individual marks: H, H, T, H, T total to 5.
- Frequency = 5

2. Mercedes Benz:
- Tally: II
- Frequency: Count the individual marks: I, I total to 2.
- Frequency = 2

3. Toyota Tazz:
- Tally: HHT HH III
- Frequency: Count the individual marks: H, H, T, H, H, I, I, I total to 8.
- Frequency = 8

4. Mazda Sting:
- Tally: HHT HH
- Frequency: Count the individual marks: H, H, T, H, H total to 5.
- Frequency = 5

5. BMW Z4:
- Tally: I
- Frequency: Count the individual mark: I total to 1.
- Frequency = 1

6. Audi A4:
- Tally: III
- Frequency: Count the individual marks: I, I, I total to 3.
- Frequency = 3

Step 2: Calculate the total number of cars:

- Adding the frequencies of all the cars:
[tex]\[ 5 \,(\text{VW Golf}) + 2 \,(\text{Mercedes Benz}) + 8 \,(\text{Toyota Tazz}) + 5 \,(\text{Mazda Sting}) + 1 \,(\text{BMW Z4}) + 3 \,(\text{Audi A4}) \][/tex]
[tex]\[ = 24 \][/tex]

- Total number of cars = 24

Step 3: Determine the height of the column representing the most common car:

- The car with the highest frequency is the Toyota Tazz, with a frequency of 8.
- Maximum height of any column in the bar graph = 8

Step 4: Complete the table with the computed frequencies:

[tex]\[ \begin{tabular}{|c|c|c|} \hline \text{Cars} & \text{Tally} & \text{Frequency} \\ \hline \text{VW Golf} & \text{HHT HT} & 5 \\ \hline \text{Mercedes Benz} & \text{II} & 2 \\ \hline \text{Toyota Tazz} & \text{HHT HH III} & 8 \\ \hline \text{Mazda Sting} & \text{HHT HH} & 5 \\ \hline \text{BMW Z4} & \text{I} & 1 \\ \hline \text{Audi A4} & \text{III} & 3 \\ \hline & \text{TOTAL:} & 24 \\ \hline \end{tabular} \][/tex]

### Answers to the Questions:
1. How many cars did they count altogether?
- Total number of cars counted = 24

2. What is the height of the column representing the most common car?
- The height of the column representing the most common car (Toyota Tazz) = 8
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Trust IDNLearn.com for all your queries. We appreciate your visit and hope to assist you again soon.